study of scaling behavior of tumor gro-wth by using of continues growth equations

tumor growth has a number of features in common with a physical process known as molecular beam epitaxy (mbe). so using the same equations for tumor growth is sensible. however, tumor substrate unlike mbe is not planar that makes necessary a geometrical treatment of the growth equations. a variety of mathematical models have been proposed to describe tumor growth. the justification for these models mainly depends on how well they fit the clinical datas. we can then include the effects of different therapies as mathematical terms. the valid models are used to predict optimal sequencing of different therapies. tumors diffuse as well as they proliferate. so considering spatial changes as well as temporal changes is necessary. these considerations are involved in reaction-diffusion equation. here, we consider the growth equation analytically by using of small noise expansion to study the scaling behavior of tumor growth